Interesting idea, If you look at modern studio monitor designs they are rounding over the front edges to minimize the front baffle area. I believe that is only helpful with higher frequencies however so although your idea would work I'm not sure it would have any measurable benefit over most squarish or rectangular boxes used for woofers.

A hemispherical or semi-cylindrical rear chamber is a very good shape for strength to weight, resonance control and internal reflection control. The problem with those shapes is the small internal volume relative to the external linear dimensions. That's why you see them used in small hi-fi satelllite midrange speakers that don't need much interior volume, but not in bass cabs that do.

Odd shapes are of some use with midranges and tweeters but they're generally a bad idea with woofers, as they usually result in less box volume for a given footprint, the result being less sensitivity and LF extension.

It's come up, but it's an inefficient use of external space for a given internal cabinet space. In short, it's going to take up a lot more space on the back seat of your Honda Civic.

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Thinking about it geometrically, the diameter of a spherical cab would be larger than a single side of any similar volume cube for a given volume, so just getting it through doors could be a problem. This also means you could only use drivers that can perform well in small enclosures.

Interesting idea, If you look at modern studio monitor designs they are rounding over the front edges to minimize the front baffle area. I believe that is only helpful with higher frequencies however so although your idea would work I'm not sure it would have any measurable benefit over most squarish or rectangular boxes used for woofers.

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The rounded edges reduces diffraction of the sound and the problems this causes. Narrow baffles need special compensation in the crossover in order to minimize that effect, too.